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AVprozaik [17]
2 years ago
15

Lisa's test grades are 79, 89, and 90. there will be one more test this year. if lisa wants her test average to be at least 88,

what is the lowest grade she can get on her last test?
Mathematics
1 answer:
erik [133]2 years ago
5 0
For this case, what we are going to do first is to assume that all the exams are worth the same percentage of the final grade.
 We have then that Lisa's average grade point equation is:
 88 =  \frac{79 + 89 + 90 + x}{4}
 Where,
 x: minimum note that lisa must obtain in the last exam.
 Clearing x we have:
 x = (88 * 4) - (79 + 89 + 90)

x = 94
 Answer:
 
the lowest grade she can get on her last test is:
 
x = 94
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Boris chooses three DIFFERENT numbers.
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Answer:

4, 5, 27.

Step-by-step explanation:

Let us find our numbers using given information.

Factors of 20 are: 1,2,4,5,10 and 20.

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36-(4+5)=36-9=27  

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4+5+27=36

Therefore, numbers chosen by Boris will be 4, 5 and 27 as these numbers satisfies our all conditions.


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A sample of the salaries of assistant professors on the business faculty at a local university revealed a mean income of $100,00
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Answer:

a) 68%

b) 95%.

c) 2.5%

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 100,000, standard deviation of 10,000.

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90,000 = 100,000 - 10,000

110,000 = 100,000 + 10,000

Within 1 standard deviation of the mean, so approximately 68%.

b. Approximately what percentage of the salaries fall between $80,000 and $120,000?

80,000 = 100,000 - 2*10,000

120,000 = 100,000 + 2*10,000

Within 2 standard deviations of the mean, so approximately 95%.

c. Approximately what percentage of the salaries are greater than $120,000?

More than 2 standard deviations above the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean, so approximately 5% are more than 2 standard deviations from the mean.

The normal distribution is symmetric, which means that 2.5% are more then 2 standard deviations below the mean, and 2.5% are more than 2 standard deviations above the mean, which means that 2.5% of the salaries are greater than $120,000.

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2 years ago
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